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Finding the Fourth Proportional to 1,300.68, 1,951.47 and 800.91

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Solution

The fourth proportional to 1,300.68, 1,951.47 and 800.91 is: 1,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.68 : 1,951.47 = 800.91 : x
  2. Step 2: Convert to fraction form
    1,300.68/1,951.47 = 800.91/x
  3. Step 3: Cross multiply
    1,300.68x = 1,951.47 × 800.91
  4. Step 4: Simplify right side
    1,300.68x = 1,562,951.84
  5. Step 5: Solve for x
    x = 1,562,951.84/1,300.68
  6. Step 6: Final answer
    x = 1,201.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.